SOLUTION: Please find derivative and simplify:
y=ln(3x-5)^3/(5x+4)^4
Algebra.Com
Question 59245: Please find derivative and simplify:
y=ln(3x-5)^3/(5x+4)^4
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Please find derivative and simplify:
d/dx[ln(x)]=1/x
d/dx[cf(x)]=cf'(x)
d/dx[c]=0
Chain Rule: d/dx[f(g(x))]=f'(g(x))*g'(x)
:
y=ln((3x-5)^3/(5x+4)^4) Use properties of logs to simplify first.
y=ln((3x-5)^3)-ln((5x+4)^4)
y=3ln(3x-5)-4ln(5x+4) Now take the derivative using the chain rule:
Happy Calculating!!!
RELATED QUESTIONS
Please find derivative and simplify:
y= x^3ln3x
y= e^ln5x
y= e^lnx
y=... (answered by uma)
Find the derivative for y=6/(5x-4)^2 and... (answered by Alan3354)
Find the derivative of the function
f(x)= 3x(4x+3)^5
y'=20(4x+3)^4
(answered by stanbon)
Express as a single logarithm and, if possible, simplify.
2/3[ln (w2 - 16) - ln(w +... (answered by stanbon,MathLover1)
find the derivative for this equation?
y=5^(x^3 +x^2)^4... (answered by Alan3354)
Dear Tutor,
Could you please help me with this question:
Find the derivative of... (answered by Alan3354)
Find the derivative of:
If y
(Y^3) - 4(x^2)y + 2(x^5) =... (answered by Alan3354)
Simplify... (answered by jim_thompson5910)
Find the second derivative of f(x) = (5x + 4)4 and evaluate it at x = 3. Show supporting... (answered by Fombitz)